Jump to ContentJump to Main Navigation
Mathematical Methods for the Magnetohydrodynamics of Liquid Metals$
Users without a subscription are not able to see the full content.

Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre

Print publication date: 2006

Print ISBN-13: 9780198566656

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198566656.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 26 October 2020

NUMERICAL SIMULATION OF TWO-FLUID PROBLEMS

NUMERICAL SIMULATION OF TWO-FLUID PROBLEMS

Chapter:
(p.185) 5 NUMERICAL SIMULATION OF TWO-FLUID PROBLEMS
Source:
Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
Author(s):

Jean-Frédéric Gerbeau

Claude Le Bris

Tony Lelièvre

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198566656.003.0005

This chapter deals with the discretization issues raised by multifluid magnetohydrodynamics problems. The additional difficulty compared to those in Chapter 3, is the presence of one (or many) free interface(s) separating the fluids. Numerically, one has also to resort to up-to-date techniques for the simulation of moving interfaces. In particular, the chapter presents a numerical method based on the Arbitrary Lagrangian Eulerian formulation, and lays emphasis on the stability of the time-advancing schemes. A short review of some other numerical methods to deal with moving interfaces is provided. Some numerical test cases illustrate the capabilities of the ALE method.

Keywords:   stability of numerical schemes, Arbitrary Lagrangian Eulerian formulation, surface tension, multifluid flow, free surface flow

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .